Question

In golf, someone who completes a course in fewer strokes beats someone who completes itwith more strokes. Par means the standard number of strokes it takes to complete a specificcourse. Amateurs generally require more strokes. Ayumi averages 1.5 times par strokes pergame, but her brother Daiki averages 1.75 times par strokes per game. To make the gamemore even, Ayumi adds 18 strokes to her total when she plays against Daiki. Assuming bothAyumi and Daiki play average games, which inequality best represents the par, p, in a golfgame where Ayumi beats her brother Daiki?

A.p>41
B.p>54
C.p>72
D.p>90

Answer 1

Answer:

C.    $p>72$

Step-by-step explanation:

We have been given that Ayumi averages 1.5 times par strokes per game, so her strokes on 'p' par would be $1.5p$.

Since Ayumi adds 18 strokes to her total when she plays against Daiki, so her total strokes would be $1.5p+18$.

We are also told that Daiki averages 1.75 times par strokes per game, so Daiki's strokes would be $1.75p$.

Ayumi's strokes need to be less than her brothers for her to win,so we can represent this information in an equation as:

$1.5p+18<1.75p$

Let us solve for p.

$1.5p-1.5p+18<1.75p-1.5p$

$18<0.25p$

$0.25p>18$

$\frac{0.25p}{0.25}>\frac{18}{0.25}$

  $p>72$

Therefore, the inequality    $p>72$ represents the par, p, in a golf-game where Ayumi beats her brother Daiki and option C is the correct choice.